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Finding the Third Proportional to 641,754 and 986,508

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Solution

The third proportional to 641,754 and 986,508 is: 1,516,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,754 : 986,508 = 986,508 : x
  2. Step 2: Convert to fraction form
    641,754/986,508 = 986,508/x
  3. Step 3: Cross multiply
    641,754x = 986,508 × 986,508
  4. Step 4: Simplify right side
    641,754x = 973,198,034,064
  5. Step 5: Solve for x
    x = 973,198,034,064/641,754
  6. Step 6: Final answer
    x = 1,516,465.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.